1695 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper demonstrates that neither polyconvexity nor true-stress-true-strain monotonicity alone guarantees physically reasonable behavior in isotropic hyperelasticity, suggesting that while their combination is a promising solution to Truesdell's Hauptproblem, no global strain-energy function satisfying both conditions has yet been identified.
This paper develops a grafting method for constructing larger quantum groups from smaller ones to resolve Majid's conjecture on quantum trees, utilizing a multi-tensor product theory for generalized double-bosonization and integrating root system structural information.
This paper demonstrates that conformable semigroups do not constitute a genuinely new theory but are mathematically equivalent to classical -semigroups under a nonlinear time reparametrization, thereby proving that their chaotic and hypercyclic dynamical properties are identical to those of the corresponding classical systems.
This paper employs information diagrams and generalized U(D) coherent states to analyze entanglement in symmetric multi-quDit systems, proposing the rank of reduced density matrices as a discrete order parameter to characterize quantum phase transitions in Lipkin-Meshkov-Glick models of D-level atoms.
This paper investigates the phase-space properties of parity-adapted U()-spin coherent states to analyze quantum phase transitions in -quDit systems, demonstrating that their Husimi functions, moments, and Wehrl entropy serve as effective localization measures for visualizing critical precursors in the -level Lipkin-Meshkov-Glick model.
This paper generalizes the Lieb-Mattis ordering theorem to fermionic mixtures with spinor components in the thermodynamic limit, demonstrating that the lowest-energy states within each permutation symmetry sector are well-approximated by U coherent states and exhibit distinct quantum phase transitions dependent on their symmetry sectors.
This paper introduces rotated logical states in quantum error correction, demonstrating that applying rotation operators to stabilizer states creates a modified code distance that significantly enhances error suppression and threshold resilience, particularly under superconducting-inspired noise models.
This paper demonstrates that the geometric distance between two qubits in a structured reservoir serves as a single control parameter to actively store, revive, or suppress Bell nonlocality through environmental memory, enabling passive non-Markovian devices and highly sensitive interferometric detection in current quantum platforms.
This paper utilizes analytic bootstrap methods to define and characterize diagonal boundaries in critical loop models via a complex parameter, deriving explicit formulas for disc correlation functions and demonstrating that specific parameter values yield discrete spectra of degenerate representations, while also providing a lattice interpretation where loops cannot terminate or change weight upon touching such boundaries.
This paper argues that by applying a principle derived from Schrödinger's 1935 work and assuming wave-packet collapse, the EPR-locality paradox is resolved within the Copenhagen interpretation, even for simple entangled spin states and despite objections regarding the locality of spin measurements.